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14077919448 = 233379825007
BaseRepresentation
bin11010001110001110…
…00000000011011000
31100100010002101222000
431013013000003120
5212312421410243
610244534401000
71005602224635
oct150707000330
940303071860
1014077919448
115a7468927a
12288a800160
1314347c1268
1497799b18c
15575dc55d3
hex3471c00d8

14077919448 has 64 divisors (see below), whose sum is σ = 39600384000. Its totient is φ = 4633233696.

The previous prime is 14077919417. The next prime is 14077919459. The reversal of 14077919448 is 84491977041.

14077919448 is a `hidden beast` number, since 1 + 40 + 77 + 91 + 9 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14077919394 and 14077919403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395440 + ... + 429567.

It is an arithmetic number, because the mean of its divisors is an integer number (618756000).

Almost surely, 214077919448 is an apocalyptic number.

14077919448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14077919448 is an abundant number, since it is smaller than the sum of its proper divisors (25522464552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14077919448 is a wasteful number, since it uses less digits than its factorization.

14077919448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825101 (or 825091 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 14077919448 in words is "fourteen billion, seventy-seven million, nine hundred nineteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 158 216 237 316 474 632 711 948 1422 1896 2133 2844 4266 5688 8532 17064 825007 1650014 2475021 3300028 4950042 6600056 7425063 9900084 14850126 19800168 22275189 29700252 44550378 59400504 65175553 89100756 130351106 178201512 195526659 260702212 391053318 521404424 586579977 782106636 1173159954 1564213272 1759739931 2346319908 3519479862 4692639816 7038959724 14077919448